Problem 1 Suppose T: RR' is a linear transformation so that the standard matrix of T is -1 2 1 1 21 -2 0 10 -1 -2 32 -3 2 a) Find Null Space Nul(T) Find Col Space Col(T) State the Rank Theorem and verify it holds for T b)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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Problem 1
Suppose T: Rº → R* is a linear transformation so that the standard matrix of T is
2
3 2
2
Find Null Space Nul(T)
b) Find Col Space Col(T)
C)
State the Rank Theorem and verify it holds for T
-
Transcribed Image Text:Problem 1 Suppose T: Rº → R* is a linear transformation so that the standard matrix of T is 2 3 2 2 Find Null Space Nul(T) b) Find Col Space Col(T) C) State the Rank Theorem and verify it holds for T -
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